Mathematical modelling of malaria-lymphatic filariasis co-infection with treatment

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Date
2015
Journal Title
Journal ISSN
Volume Title
Publisher
University of Dar es Salaam
Abstract
Malaria and Lymphatic filariasis continue to cause a great burden and threat globally.They are transmitted by the same mosquito species which calls upon important measures to be taken in co-endemic regions. In this study, a mathematical model of malaria-lymphatic filariasis (LF) coinfection is formulated and analysed with the aim of understanding the dynamics of the two epidemics. Two sub-models of malaria and LF are reviewed to obtain key results on each individual disease transmission dynamics. The model of coinfection is extended to incorporate evaluation of the effects of treatment in the diseases spread. Traditional analytical methods are employed to show positivity and boundedness of solutions and thus established that the models are wellpossed. Stability analysis is applied to derive conditions under which the epidemic will invade the population or will be cleared from the population. The study reveals that the two diseases can be cleared if effective reproduction number is less than one (Re < 1) and can persist in the community if Re > 1: Furthermore, it is shown that treatment may reduce the burden of diseases if Re < 1. Sensitivity analysis and numerical simulations are carried out to illustrate the analytical results and test the influence of certain parameters. The study reveals that transmission parameters are the main factors in fueling the spread and the control parameters (treatment rates) can effectively eliminate the diseases from the population. The result of the study shows that treatment programs targeting the singly and the dually infected populations concurrently can effectively eliminate malaria and LF from the population.’
Description
Available in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF LC142.5.N3756)
Keywords
Filariasis, Malaria, Mathematical models
Citation
Ndola, Z. (2015) Mathematical modelling of malaria-lymphatic filariasis co-infection with treatment, Master dissertation, University of Dar es Salaam, Dar es Salaam